# 10 00 10 c state the y intercepts of the graph of the

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(-1,0), (0,0), (1,0)c. State the y-intercept(s) of the graph of the equation if they exist.(0,0)d. Is the graph of the equation symmetric to the x-axis, y-axis or the origin?
4. Find the union and/or intersection of the following sets and simplify as far as possible. Express your answer in interval notation. (2 pts each)
5. (2 pts. each) Consider the following graph of y= f (x). (Some of the points are plotted with using dots, for your convenience.) (no explanations required)(a) State the y-intercept(s).
(b) State the value of f(2).
(c) State the domain.[1,5](d) State the range.[0,3]6. Letf(x)=x2x3.(3 pts. each)
)
(b) State the domain of the function in interval notation.
(c) Find and simplify as much as possible:(t1)f. Show work.
7. Consider the points (-1, 7) and (4, -8).a. Find the midpointof the line segment with the given endpoints. Show work. (5 pts)
b. Find the distancebetween the points. Show some work. Give the exact answer (involving a radical), simplify the radicalas much as possible, and also state an approximation to three decimal places. (5 pts.)
8. Given f(x)=(3x)2.Find the following. Show work. (3 pts each)a. Findf(−2= (3 – (-2))^2)
b. Findf(x+3(3- (x+3))^2)
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9. Let f(x)=3x9and g(x)=5x.(3 pts each)Show work for b, c, and d. a. State the domain of f. Express your answer in interval notation.
b. Find: (fg)(3)
c. Find: (gf)(4)
d. Find: (fg)(15)
e. Find and simplify:
h
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